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Theorems · Theorem · measure theory

EuclideanSpace.volume_ball_fin_three

∀ (x : EuclideanSpace ℝ (Fin 3)) (r : ℝ),
  MeasureTheory.volume (Metric.ball x r) = ENNReal.ofReal r ^ 3 * ENNReal.ofReal (Real.pi * 4 / 3)
Defined in
Mathlib.MeasureTheory.Measure.Lebesgue.VolumeOfBalls
Cited by
1 results in Mathlib
Foundations
Depth 297 from the axioms · uses propext, Classical.choice, Quot.sound

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